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First-order impulsive ordinary differential equations with advanced arguments
Authors:Tadeusz Jankowski
Institution:Gdansk University of Technology, Department of Differential Equations, 11/12 G. Narutowicz Str., 80-952 Gdańsk, Poland
Abstract:This paper deals with impulsive advanced ordinary differential equations with boundary conditions. We investigate the existence of solutions and quasisolutions for advanced impulsive differential equations. To obtain such results we apply Schauder's fixed point theorem. Corresponding results are also formulated for differential inequalities.
Keywords:Impulsive differential equations  Equations with advanced arguments  Nonlinear boundary conditions  Existence results
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